Using Proportion formula,
the number of grocery items in her shopping list is twenty.
We have given that,
Both Anataia and her father already completed shopping percentage = 60%
total items in her cart = 12
we have to find number of groucery items she pucharsed.
let X be total number of items purchased by anatia or in her list .
60% of her whole shopping = 12 items in her cart
=> 60/100 of her whole shopping = 12 items
so, total 100% of her whole shopping= N items
Using the proportion,
x:y = a:b => xb = ab
similarly, 60 : 100 = 12 : X
=> 60X = 12 × 100
=> 60 X = 1200
=> X = 1200/60
=> X = 20
Hence , total number of items in her list is 20.
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15 7 ÷ 15 4 is equal to _____.
15 3
1
15 11
Answer:
102
7.43 Answer by question
Drag all of the values to the box that round to 56.8 when rounded to the nearest tenth.
56.85
56.809
Drag all of the values to the box that round to 56.8 when rounded to the nearest tenth.
56.85
56.809
56.749
56.08
56.795
56.832
Drag all of the values to the box that round to 56.8 when rounded to the nearest tenth.
56.85
56.809
56.749
56.08
56.795
56.832
56.72
Numbers that round to 56.8
The numbers round to 56.8 when rounded to the nearest tenth are 56.809, 56.795, and 56.832 respectively.
What is rounding decimals?
The term "rounding decimals" describes the accurate rounding of decimal figures. To the nearest whole, tenth, or hundredth, we can round decimals.
The next place value on the right should be used to round a number to the closest tenth (the hundredths). Simply take away all the digits to the right if it's 4 or fewer. Remove all the digits to the right after adding 1 to the digit in the tenth position if the number is 5 or above.
We need to find the value that rounds to the nearest tenth which results in 56.8
Now, we check all options one by one and rounded them to the nearest tenth
56.85 = 56.9 (rounded to the nearest tenth)
56.809 = 56.8 (rounded to the nearest tenth)
56.749 = 56.7 (rounded to the nearest tenth)
56.08 = 56.1 (rounded to the nearest tenth)
56.795 = 56.8 (rounded to the nearest tenth)
56.832 = 56.8 (rounded to the nearest tenth)
56.72 = 56.7 (rounded to the nearest tenth)
Hence, the required answers are 56.809, 56.795, and 56.832.
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13 points) find the area of the largest rectangle that can be inscribed in a right triangle with legs of length 3 and 4 if two sides of the rectangle lie along the legs
The area of the largest rectangle will be 3.
By using properties of similar triangles we can say that
[tex]\frac{EF}{FB} - \frac{AC}{CB}[/tex]
B / (3 - a) = 4/3
3b = 12 - 4a
4a = 12 - 3b
a = (12 - 3b) / 4
Now as we know area of a rectangle is length * width. let us find the area
A = l * w
A = b * ( (2 - 3b) / 4 )
A = 3b - 3[tex]b^{2}[/tex]/4
Now to find maximum value we will differentiate the area and put it equal to zero.
[tex]D^{1}[/tex] = 3 - 6b/4 = 0
6b/4 = 3
6b = 12
b = 2
and
a = (12 - 3b) / 4
a = 6/4
a = 3/2
So, area will be = 3/2 * 2
Therefore maximum are of the triangle will be 3.
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What is the ½ of ¾?.
The value of fraction 1/2 multiplied by 3/4 is 3/8 by multiplication of fractions.
What is fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. A fraction only informs us of the number of components that make up the total. The slash that is inserted between the two numbers identifies a fraction. The numerator is the highest number, while the denominator is the lowest number. 1/2, for instance, is a fraction. A fraction is a number that is a component of a whole.
Here,
1/2 of 3/4
=1/2*3/4
=3/8
By using fractional multiplication, the result of 1/2 times 3/4 is 3/8.
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Write your answer as an integer or as a decimal round to the nearest 10th
m∠W = 33.8° , using inverse trignometric ratio.
What do you mean by inverse trignometric functions?
The sine, cosine, tangent, cotangent, secant, and cosecant functions are the fundamental trigonometric functions. Inverse trigonometric functions are just the inverse functions of these functions. They can also be referred to as cyclometric functions, antitrigonometric functions, or arcus functions. Trigonometry's inverse functions are used to find the angle for any trigonometric ratio.
It is given that VU = 2 units and VW = 3 units and VUW is a right angle triangle , right angled at V.
Using the ratio of tanW,
As we know tanA = P/B where P is the perpendicular and B is the base
In the given triangle VUW,
tanW = VU/VW = 2/3
W = [tex]tan^{-1}[/tex](2/3) = [tex]tan^{-1}[/tex](0.67) = 33.8 degree
Therefore, m∠W = 33.8°
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Ms. Takata has $480 to spend on redecorating her room. She bought 3 sets of curtains that cost $48. 25 each and a dresser that cost $234. 99. How much money does ms. Takata have left to spend?.
The amount that Ms. Takata has left to spend is $100.26 .
In the question ,
it is given that ,
total amount that Ms. Takata can spend on redecorate her room = $480
the cost of 1 curtain is = $48.25
the cost for 3 curtain = 3*48.25 = 144.75
the cost of dresser = $234.99
the amount left to spend can be represented by
the amount left to spend = total amount - ( cost of 3 curtain + cost of dresser)
= 480 - (144.75 + 234.99)
= 480 - 379.74
= 100.26
Therefore , The amount that Ms. Takata has left to spend is $100.26 .
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y=−16x ^2 +240x+115 ?
Answer:
Step-by-step explanation:
$y = -16x^2 + 240x + 115$
$= -16x^2 + 240x + 120 - 5$
$= -16x^2 + 240x + 120 - 5x - 5x$
$= -16x^2 + 240x + 120 - 10x - 5x$
$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2$
$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x$
$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x + x -x$
$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x + x -x + 3 - 3$
$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x + x -x + 0
what is -12+6xz equivalent to
Step-by-step explanation:
-12+6xz is equivalent to 6(-2 + xz) or 6(xz - 2)
Please help with explanation thank you!
The required equation of the line is y = (7/4)x + 2.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The given coordinate of the point on the line is ; (-4, -5) and the slope is 7/4
Let the required equation of the line is
⇒ y - y₁ = m [x -x₁]
x₁ = -4, y₁ = -5 and m = 7/4
Substitute values in the equation, we get
y - (-5)= (7/4)(x - (-4))
y + 5 = (7/4)(x + 4)
y + 5 = (7/4)x + (7/4)4
y = (7/4)x + 7 - 5
y = (7/4)x + 2
Therefore, the required equation of the line is y = (7/4)x + 2.
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Let sin A = 1/3, with A in quadrant II, and let cos B =3/4, with B in quadrant I. Find sin(A - B). Give an exact, simplified answer.
The Trigonometric function sin(A - B) = (3 - 2[tex]\sqrt{14}[/tex]) ÷ 12
What is trigonometry?The study of correlations between triangles side lengths and angles is known as trigonometry.In geometric figures, unknown angles and distances are derived from known or measured angles using trigonometric functions. The need to calculate angles and distances in disciplines like astronomy, mapmaking, surveying, and artillery range finding led to the development of trigonometry.The easiest way is to use the Pythagorean Identity to find both cos A and sin B. Then use the sum/difference angle identity for sine.
The trigonometric Pythagorean identity tells us that,
[tex]Sin^{2}[/tex]θ + [tex]cos^{2}[/tex]θ = 1
which follows directly from the geometric identity for right triangles and the fact that,
sinθ = y/r and cosθ = x/r
If r is the distance (x,y) is from the origin, then
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] = [tex]r^{2}[/tex]
[tex](x/r)^{2}[/tex] + [tex](y/r)^{2}[/tex] = 1(divide both sides by [tex]r^{2}[/tex])
[tex]cos^{2}[/tex]θ + [tex]Sin^{2}[/tex]θ = 1
Anyway, if we know sin A (and which quadrant it ends in), we can solve for cos A and vice versa:
[tex]Sin^{2}[/tex]θ + [tex]cos^{2}[/tex]θ = 1
[tex](1/3)^{2}[/tex] + [tex]cos^{2}[/tex]θ = 1
⇒ cos A = [tex]\sqrt{1-(1/3)^{2} }[/tex] = [tex]\frac{2\sqrt{2}}{3}[/tex]
cosθ is always negative in this quadrant.
Therefore,
cos A = -[tex]\frac{2\sqrt{2} }{3}[/tex]
Similar reasoning can be done with cos B = [tex]\frac{3}{4}[/tex] to show that sin B = -[tex]\frac{\sqrt{7} }{4}[/tex]
Now that we have all the necessary elements, we can use the sum/difference angle identity:
Sin(A-B) = sin A cos B - cos A sin B
= ( [tex]\frac{1}{3}[/tex] × [tex]\frac{3}{4}[/tex] ) - ( (-[tex]\frac{2\sqrt{2} }{3}[/tex] ) × (-[tex]\sqrt{7[/tex]/4) )
= (3 ÷ 12) - (2[tex]\sqrt{14}[/tex] ÷ 12)
= (3 - 2[tex]\sqrt{14}[/tex]) ÷ 12
We get sin(A - B) = (3 - 2[tex]\sqrt{14}[/tex]) ÷ 12
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What number is 76 more than the product of 13 and 8 Number sentence?.
Answer:
180
Step-by-step explanation:
13 X 8 = 104 --> 104 + 76 = 180
evaluate (49/64)^1/2
Answer:
Exact Form:
7/8
Decimal Form:
0.875
This year, the Calgary stampede boasts it will offer a Ferris Wheel with a diameter of 150 feet. What is the circumference of the Ferris Wheel in meters?
Answer:
a take 2 hour to plant so flower bulbs if they are working together how long should it takes to plant 150 bulb? solving the question
How much is this and i need to know the answer to this and then i need to know waht it is 8x 10⁹
8 * 10^9 is 8000000000
just 9 zeros to the 8
Write the equation of the line that passes through the given points.
(-2,8.5) and (0,3.5)
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{8.5})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{3.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3.5}-\stackrel{y1}{8.5}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-2)}}} \implies \cfrac{-5}{0 +2}\implies -\cfrac{5}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8.5}=\stackrel{m}{- \cfrac{5}{2}}(x-\stackrel{x_1}{(-2)}) \implies y -8.5= -\cfrac{5}{2} (x +2) \\\\\\ y-8.5=-\cfrac{5}{2}x-5\implies y=-\cfrac{5}{2}x-5+8.5\implies {\Large \begin{array}{llll} y=-\cfrac{5}{2}x+3.5 \end{array}}[/tex]
Richard's Bakery recently spent a total of $594 on new equipment, and their average hourly operating costs are $5. Their average hourly receipts are $23. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?
Answer:
33 Hours.
Step-by-step explanation:
Their hourly receipts are $23, and their hourly operating costs are $5. So you would subtract the hourly receipts from the hourly operating costs.
23 - 5 = 18
Then you would take the new number and divide the money spent on equipment by the money earned an hour.
594 / 18 = 33
Hope this helps! :)
Arianys runs a farm stand that sells grapes and apples. Each pound of grapes sells for
$3.75 and each pound of apples sells for $4. Arianys made $251.75 from selling a
total of 64 pounds of grapes and apples. Determine the number of pounds of grapes
sold and the number of pounds of apples sold.
The number of pounds of grapes is 24 sold and the number of pounds of apples sold is 30.
Given that,
Apples and grapes are sold at Arianys' farm stand. The price per pound for apples is $4 while the price per pound for grapes is $3.75. 64 pounds of apples and grapes were sold for a total profit of $251.75 for Arianys.
We have to find the number of the sold apples and pounds of grapes should be calculated.
What are the equation?a declaration that two mathematical expressions' values are equal (represented by the symbol =).
We get the equations as,
3.75x+4y=251.75
y=-0.93x+62.93---->equation(1)
x+y=64
y=-x+64------>equation (2)
We get the points as
For equation (1),
(0,62.93) and (67.66,0)
For equation (2),
(0, 64) and (64,0)
If we draw a graph we get 2 lines intersect at a point (24, 30).
Therefore, The number of pounds of grapes is 24 sold and the number of pounds of apples sold is 30.
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karen works 40 hours a week at a popular tourist attraction and earns a weekly salary of $400. this week, due to fourth of july crowds, she was asked to work another 10 hours. having worked 50 hours this week, how much can karen expect to earn for the week?
Answer:
$500
Step-by-step explanation:
400/40 = 10. This gives us her hourly rate
50 x 10 = 500
In 2012 a dolphin named M007 was tracked as he swam through the Atlantic waters.
He swam 600 miles in 67 days. For 26.4 miles, M007 was tracked off the eastern
coast of Florida. How long did M007 spend near the coast of Florida? Round your
answer to nearest tenth of a day if necessary.
Answer:
2.9 days
Step-by-step explanation:
Need days / mile
67 days / 600 mi = .1116666 day/mile
.1116666 day/mi * 26.4 mi = 2.948 day ~ 2.9 days
OR
Miles per day
600 mi / 67 day = 8.9552 mi / day
26.4 mi / (8.9552 mi/day) = 2.948 ~ 2.9 day
y = 6x - 11 Solve for corrdinate
The equation of line possible solution sets of the equation are all the points that lie on the graph of this function.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is the line y = 6x - 11
Plot the graph on the equation. The coordinates on the line plotted represents all the coordinates that are the solution for the equation -
y = 6x - 11
Therefore, the equation of line possible solution sets of the equation are all the points that lie on the graph of this function.
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Which statement is true? A. A ray is a set of points that extends infinitely in both directions. B. A line consists of two endpoints and all the points between them. C. A line segment consists of two endpoints and all the points between them. D. A line has two endpoints.
The true statements are:
C. . A line segment consists of two endpoints and all the points between
D. A line has two endpoints.
What is a line segment?A line segment is bounded by two distinct points on a line.
How to know which statement is true?
From the definition,.
Also, we know that through two points one and only one line can pass .
Therefore, A line has two endpoints.
So, option C and D are correct.
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What does a 1 2BH equal?.
"1/2BH" represents the formula for finding out the area of the triangle.
What is the area of the triangle?
In a two-dimensional plane, the area of a triangle is the region enclosed by it. As we all know, a triangle is a closed shape with three sides and three vertices. Thus, the area of a triangle is the total space occupied by the triangle's three sides. The general formula for calculating a triangle's area is half the product of its base and height.
The given formula is 1/2BH
so this is the formula for finding out the area of the triangle where 'B' is the base of the triangle and H is the height of the triangle.
Hence, "1/2BH" represents the formula for finding out the area of the triangle.
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A men’s basketball coach would like to know if there is a relationship between how tall a player is and how high he can jump. He collects the following data from every member of the team.
Examine the scatterplots provided in this graphic. Which one correctly displays these data?
Scatterplot A
Scatterplot B
Scatterplot C
Scatterplot D
Answer:
Either a or d
Step-by-step explanation:
Because they show the data correctly it is A trust me
Answer: Scatterplot A
Step-by-step explanation:
edGE 23
factor completely 81x^2-4
Answer:
(9x-2)(9x+2) is the correct answer
the distance from Huntington park to Promenade in Downey is 9 1/3 miles. if you were to walk at a steady 4 2/3 mph, how much time would be needed for the trip? Help please.!
The time that would be needed for the trip is 2 hours.
How to calculate the time?It is important to note that the formula that can be used for calculating the time taken will be:
Time = Distance / Speed
where
Distance = 9 1/3
Speed = 4 2/3
Therefore time will be:
Time = Distance / Speed
= 9 1/3 ÷ 4 2/3
= 28/3 ÷ 14/3
= 28/3 × 3/14
= 2 hours
The time is 2 hours.
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in the picture below, we have a triangle DEF that has been dilated from center 0 by the scale factor r = 4. It is noted by D'E'F'. Describe the sequence of a dilation followed by a congruence that would map triangle D''E''F'' onto triangle DEF
HELP!!!!
The transformations that would map triangle D''E''F'' onto triangle DEF are given by:
Dilation centered at the origin with a scale factor of 1/4.Translation of 1 unit up and 2 units right.What are the transformations?The transformations to map triangle DEF into triangle D''E''F'' is given by:
Dilation centered at the origin with a scale factor of 4.Translation of 4 units down and 8 units left.The dilation means that the coordinates of each vertex of the figure are multiplied by the scale factor.
The dilation from DEF to D'E'F' has a scale factor of 4, hence the inverse dilation will have a scale factor of:
1/4.
Then the inverse translation is applied, as follows:
4 units x 1/4 = 1 unit, inverse of down is up.8 units x 1/2 = 2 units, inverse of left is right.More can be learned about transformations at https://brainly.com/question/29211183
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9x²-12x-5+0
solve quadratic expression
Answer:
(3x−5)(3x+1)
Step-by-step explanation:
Evaluate
9x2−12x−5
Rewrite the expression
9x2+3x−15x−5
Factor out 3x from the expression
3x(3x+1)−15x−5
Factor out −5 from the expression
3x(3x+1)−5(3x+1)
Solution
(3x−5)(3x+1)
Answer:
(3x - 5)(3x + 1)
Step-by-step explanation:
1. Add the numbers
9x² - 12x - 5 + 0
9x² -12x - 5
2. Use the sum-product pattern
9x² - 12x - 5 + 0
9x² + 3x - 15x - 5
3. Common factor from the two pairs
9x² + 3x - 15x - 5
3x(3x + 1) - 5(3x + 1)
4. Rewrite in factored form
3x(3x + 1) - 5(3x + 1)
(3x - 5)(3x + 1)
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QUICKKK PLEAZZEWrite two different expressions to represent the perimeter of this square. What can you conclude from the two expressions? Express your answer in two or more complete sentences.
The perimeter of the square can be expressed as either S+S+S+S or 4×S
How to write two different expressions to represent the perimeter of a square?
Perimeter is the distance around the edge of a shape. It can be found by adding up the side lengths of the shapes
Given: a square with a side length of S. Thus, the perimeter can be expressed as:
Perimeter = S + S + S + S = 4S
Since there are 4 equal sides each having a length of S. Thus, we can also write perimeter as:
Perimeter = 4 × S = 4S
Therefore, we can conclude the same expression are the same since they both have the same value of 4S
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I'm not sure how to solve this
A closed top box with a square base is to have a volume of 4000 cubic inches. What are the dimensions that will minimize the amount of material used to build the box?.
The minimum dimensions to minimize the amount of material is 15.87 x 15.87 x 15.87 inch.
We need to know about the minimum function to solve this problem. The minimum function can be defined as the minimum value of the variable. It can be calculated by the derivative of the function. The minimum function can be written as
f'(s) = 0
where f'(s) is the derivative function
From the question above, the given parameter is
V = 4000 inch³
The cubic volume can be written as
s² x h = 4000
where s is the length of the base area and h is the height of the box.
the minimum value of the box refer to its surface area, hence
f(s) = 4sh + 2s²
f'(s) = 4h + 4s
4h + 4s = 0
h = s
It means that the length of the base area and the height must have the same dimension. The minimum volume should have a cube shape
V = s³
s³ = 4000
s = 15.87 inch
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